Generalized Inverses and Rings with Involutions

T. Y. Lam ()
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T. Y. Lam: University of California, Berkeley, Department of Mathematics

Chapter 3 in Excursions in Ring Theory, 2026, pp 207-298 from Springer

Abstract: Abstract For a ring R with an identity, we have the important notion of inverse (and more generally left, right inverses) for an element in R. The set of invertible elements forms the unit group U(R) of R, but this may be only a relatively small subset of R; e.g. U(ℤ) = {±1}, and U(R) = {1} for any Boolean ring R.

Date: 2026
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DOI: 10.1007/978-3-032-26301-8_3

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